Solving Non-Linear Equations Socrative Challenge

Systems of Equations 2.14

How the question will be asked

Answers must be written like this

OR

How can you solve the problems?

Correct answer - 1 point

Graph on calculator - 1 point

Factorising - 3 points

Quadratic Formula - 4 points

Desmos

Factorising

y = x² and y = -3x - 2

x² = -3x - 2

x² + 3x + 2 = 0

(x + 1)(x + 2) = 0

x₁ = -1, x₂ = -2

y₁ = -3(-1) - 2, y₂ = -3(-2) - 2

y₁ = 1, y₂ = 4

(-1, 1) and (-2, 4)

Quadratic Formula

y = x² and y = -3x - 2

x² = -3x - 2

x² + 3x + 2 = 0

a = 1, b = 3, c = 2

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